Question

What is the factored form of x2 − 4x − 5?

(x + 5)(x − 1)
(x + 5)(x + 1)
(x − 5)(x − 1)
(x − 5)(x + 1)

Answer 1

Correct option is last ....(x-5)(x+1).......!!!!!

Answer 2

$\fbox{\bf{\huge{HEY THERE}}}$


$\bf{\mathsf{\tiny{Solution}}}$

$\bf{\mathsf{\tiny{Question: x^2-4x-5}}}$

Step-by-Step Explaination;-

Solving by Splitting Method!

In this method splitting of middle term in to two factors.

Here,

Find the factors of 5 in such way that 
addition or subtraction of that factors is 
the middle term (4x)(Splitting of middle term).

Equation: x²-4x-5

=> x²-5x+x-5

=> x(x-5)+1(x-5)

=> (x+1)(x-5)

Hence, Required Factor of x²-4x-5 is (x+1)(x-5).

Therefore, Option C is correct Answer!.